skip to main content
10.1145/3446999.3447026acmotherconferencesArticle/Chapter ViewAbstractPublication PagesicitConference Proceedingsconference-collections
research-article

Spreading Dynamics of Random Walks in Complex Networks

Published: 09 April 2021 Publication History

Abstract

The study of spreading dynamics is an important foundation to analyze the spread of viruses or rumors. The general method of analyzing spreading dynamics is based on model, such as SI model, SIS model, SIR model,ect. However, the spreading dynamics in the network is affected by many factors and represents some randomicity. So, in this paper, we propose Random Walks(RW) spreading model for opinions to illustrate the spreading behavior in networks, for instance, the random networks and BA scale-free networks. With MonteCarlo simulation method, the results show that the spreading speed of BA scale-free network is more quickly than that of ER random network, when the spreading probability β is small. But, with the increase of β, the spreading speed of ER random network increases gradually and exceeds that of BA scale-free network.

References

[1]
Grassly N C, Fraser C . Mathematical models of infectious disease transmission[J]. Nature Reviews Microbiology, 2008, 6:477-87.
[2]
Shi H, Duan Z, Chen G . An SIS model with infective medium on complex networks[J]. Physica A, Statal Mechanics & Its Applications, 2008, 387(8-9):2133-2144.
[3]
Trpevski, D.; Tang, W.K.S.; Kocarev, L. Model for rumor spreading over networks[J]. Phys.Rev.E, 2010,81.
[4]
Zhao, L.J.; Cui, H.X.; Qiu, X.Y.; Wang, X.L.; Wang, J.J. SIR rumor spreading model in the new media age[J]. Physica A, 2013, 392, 995–1003.
[5]
Jiang G, Li S, Li M . Dynamic rumor spreading of public opinion reversal on Weibo based on a two-stage SPNR model[J]. Physica A: Statal Mechanics and its Applications, 2020, 558.
[6]
Viguerie A, Lorenzo G, Auricchio F, Simulating the spread of COVID-19 via spatially-resolved susceptible-exposed-infected-recovered-deceased (SEIRD) model with heterogeneous diffusion[J]. Applied Mathematics Letters, 2020.
[7]
Zhu L, Wang B . Stability analysis of a SAIR rumor spreading model with control strategies in online social networks[J]. Information ences, 2020, 526:1-19.
[8]
Jayanth J., Sreetama D.as, Aditi S., Interference-induced localization in quantum random walk on clean cyclic graph[EB/OL]. https://arxiv.org/pdf/1812.05158.pdf.
[9]
Mishkovski I, Mirchev M, Scepanovic S, Interplay Between Spreading and Random Walk Processes in Multiplex Networks[J]. IEEE Transactions on Circuits and Systems I: Regular Papers, 2017:2761-2771.
[10]
[Kawai R . Anomalous spreading and misidentification of spatial random walk models[J]. Applied Mathematical Modelling, 2016, 40(9-10):5283-5291.
[11]
Barabasi A L, Albert R . Albert, R.: Emergence of Scaling in Random Networks[J]. Science, 1999, 286, 509-512.
[12]
Barabasi A L. Scale-Free Networks: A Decade and Beyond[J]. Science, 2009, 325(5939):412-413.
[13]
Y.Moreno, M.Nekovee, A.F.Pacheco, Dynamics of rumor spreading in complex networks[J]. Phys.Rev.E, 69(2004)066130.
[14]
Wang H, Li T, Kong Y, Online and Offline Rumor Spreading Dynamics on Scale-Free Networks[C]// 2019 Chinese Control Conference (CCC). IEEE, 2019.
[15]
J.J.Wang,L.J.Zhao,R.B.Huang,SIRaRu rumor spreading model in complex networks[J]. PhysicaA, 398(2014):43–55.
[16]
Pastor-Satorras, R.; Vespignani, A. Epidemic spreading in scale-free networks[J]. Phys. Rev. Lett. 2001, 86, 3200-3203.
[17]
Draief M, Ganesh A . A random walk model for infection on graphs: spread of epidemics & rumours with mobile agents[J]. Discrete Event Dynamic Systems, 2011, 21(1):41-61.
[18]
Deng K Y, Deng J W, Li Y X, The Random Walk Model for Tibetan Network Public Opinion Dissemination Behavior[J]. Advanced Materials Research, 2014, 945-949:2459-2462.
[19]
Zheng Z, Xiao G, Wang G, Mean First Passage Time of Preferential Random Walks on Complex Networks with Applications[J]. Mathematical Problems in Engineering, 2017(pt.8):8217361.1-8217361.14.
[20]
Skardal P S . Quasiperiodic dynamics and a Neimark-Sacker bifurcation in nonlinear random walks on complex networks[J]. PHYSICAL REVIEW E, 2020, 101(1).
[21]
Newman M E J, Strogatz S H, Watts D J. Random graphs with arbitrary degree distributions and their applications[J]. Physical Review E, 2001, 64(2):359-382.

Recommendations

Comments

Information & Contributors

Information

Published In

cover image ACM Other conferences
ICIT '20: Proceedings of the 2020 8th International Conference on Information Technology: IoT and Smart City
December 2020
266 pages
ISBN:9781450388559
DOI:10.1145/3446999
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 09 April 2021

Permissions

Request permissions for this article.

Check for updates

Author Tags

  1. Complex Networks
  2. MonteCarlo Method
  3. Random Walks
  4. Spreading Behavior

Qualifiers

  • Research-article
  • Research
  • Refereed limited

Funding Sources

  • The Key Science and Technology Program of HeNan Province, China
  • HeNan Social Science Foundation, China

Conference

ICIT 2020
ICIT 2020: IoT and Smart City
December 25 - 27, 2020
Xi'an, China

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • 0
    Total Citations
  • 54
    Total Downloads
  • Downloads (Last 12 months)4
  • Downloads (Last 6 weeks)0
Reflects downloads up to 03 Mar 2025

Other Metrics

Citations

View Options

Login options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

HTML Format

View this article in HTML Format.

HTML Format

Figures

Tables

Media

Share

Share

Share this Publication link

Share on social media